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Finding the Fourth Proportional to 4,809.69, 6,638.22 and 3,678.12

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Solution

The fourth proportional to 4,809.69, 6,638.22 and 3,678.12 is: 5,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.69 : 6,638.22 = 3,678.12 : x
  2. Step 2: Convert to fraction form
    4,809.69/6,638.22 = 3,678.12/x
  3. Step 3: Cross multiply
    4,809.69x = 6,638.22 × 3,678.12
  4. Step 4: Simplify right side
    4,809.69x = 24,416,169.75
  5. Step 5: Solve for x
    x = 24,416,169.75/4,809.69
  6. Step 6: Final answer
    x = 5,076.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.